CHARACTERIZATION OF GROUPS E6(3) AND 2E6(3) BY GRUENBERG KEGEL GRAPH

CHARACTERIZATION OF GROUPS E6(3) AND 2E6(3) BY GRUENBERG KEGEL GRAPH Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2021, Volume: 18, Number: 2, Pages: 1651-1656 Pages count : 6 DOI: 10.33048/semi.2021.18.124

Tags

Exceptional group of lie type e6; Finite group; Simple group; The gruenbergkegel graph

Authors

Khramova A.P. ¹ , Maslova N.V. ^2,4,5 , Panshin V.V. ^1,3 , Staroletov A.M. ^1,3

Affiliations

1	Sobolev Institute of Mathematics, 4 Acad Koptyug ave, Novosibirsk, 630090, Russian Federation
2	Krasovskii Institute of Mathematics and Mechanics UB RAS, 16, S. Kovalevskaja str, Yekaterinburg, 620108, Russian Federation
3	Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
4	Ural Federal University, 19, Mira str., Yekaterinburg, 620002, Russian Federation
5	Ural Mathematical Center, 19, Mira str., Yekaterinburg, 620002, Russian Federation

Funding (1)

Mathematical Center in Akademgorodok

075-15-2019-1675

The Gruenberg Kegel graph (or the prime graph) Γ(G) of a nite group G is de ned as follows. The vertex set of Γ(G) is the set of all prime divisors of the order of G. Two distinct primes r and s regarded as vertices are adjacent in Γ(G) if and only if there exists an element of order rs in G. Suppose that L =≅ E6(3) or L ≅= 2E6(3). We prove that if G is a nite group such that Γ(G) = Γ(L), then G ≅= L. © 2021 Khramova A.P., Maslova N.V., Panshin V.V., Staroletov A.M. The work is supported by the Mathematical Center in Akademgorodok under the agreement 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation

Khramova A.P. , Maslova N.V. , Panshin V.V. , Staroletov A.M.
CHARACTERIZATION OF GROUPS E6(3) AND 2E6(3) BY GRUENBERG KEGEL GRAPH
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.1651-1656. DOI: 10.33048/semi.2021.18.124 WOS Scopus OpenAlex

Web of science:	WOS:000734395000042
Scopus:	2-s2.0-85123794632
OpenAlex:	W4225965616

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Scopus	2
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